Trigonometry, Plane and Spherical;: With the Construction and Application of LogarithmsJ. Nourse, bookseller in ordinary to his Majesty., 1765 - 79 sider |
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Resultat 1-5 av 17
Side 13
... follows , that the tangent of half a right - angle is equal to the ra- dius ; and that the co - tangents of any two dif- ferent arches ( reprefented by P and Q are to one another , inversely as the tangents of the fame arches : for ...
... follows , that the tangent of half a right - angle is equal to the ra- dius ; and that the co - tangents of any two dif- ferent arches ( reprefented by P and Q are to one another , inversely as the tangents of the fame arches : for ...
Side 18
... follows : 1o . Multiply the fum of the fines of any two adjacent terms of the progreffion 45 ' , 1 ° 30 ' , 2 ° 15 ′ , 3 ° 00 ′ , 3 ° 45 ' , & c . ( betwixt which you would find all the intermediate fines ) by the fraction , 0000000423 ...
... follows : 1o . Multiply the fum of the fines of any two adjacent terms of the progreffion 45 ' , 1 ° 30 ' , 2 ° 15 ′ , 3 ° 00 ′ , 3 ° 45 ' , & c . ( betwixt which you would find all the intermediate fines ) by the fraction , 0000000423 ...
Side 21
... follows : 73 , 0001486947 excess 0000000730 1st prod . pro- , 85940641 fine 59 ° 15 ′ 0001486947 86217 1 ' rem . 730 , 8595551047 fine 59 ° 16 ′ 1486217 59 ° 17 ′ 85487 2 rem . , 8597037264 fine 59 ° 17 ′ 730 1485487 84757 3 rem ...
... follows : 73 , 0001486947 excess 0000000730 1st prod . pro- , 85940641 fine 59 ° 15 ′ 0001486947 86217 1 ' rem . 730 , 8595551047 fine 59 ° 16 ′ 1486217 59 ° 17 ′ 85487 2 rem . , 8597037264 fine 59 ° 17 ′ 730 1485487 84757 3 rem ...
Side 24
... follows more- over , that the peri- phery of a great - cir- cle is every where 90 degrees diftant from its pole ; and that the measure of a spherical angle CAD is an arch of a great circle inter- cepted by the two circles ACB , ADB ...
... follows more- over , that the peri- phery of a great - cir- cle is every where 90 degrees diftant from its pole ; and that the measure of a spherical angle CAD is an arch of a great circle inter- cepted by the two circles ACB , ADB ...
Side 26
... follows , that the fines of the angles of any oblique spherical triangles ADC are to one another , directly , as the fines of the oppofite fides , For D For let BC be perpendicular to AD ; then 26 Spherical Trigonometry .
... follows , that the fines of the angles of any oblique spherical triangles ADC are to one another , directly , as the fines of the oppofite fides , For D For let BC be perpendicular to AD ; then 26 Spherical Trigonometry .
Andre utgaver - Vis alle
Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1748 |
Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1765 |
Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1765 |
Vanlige uttrykk og setninger
4th rem AC by Theor AC-BC AD² adjacent angles AE² alſo known arch baſe becauſe bifecting cafe chord circle co-fecant co-fine AC co-tangent of half common logarithm confequently COROL COROLLARY defcribed diameter dius E. D. PROP equal to half excefs exceſs faid fame fecant fecond feries fhall fides AC fince fines firft firſt fpherical triangle ABC fquare fubtracted fupplement fuppofed garithms gent of half given gles great-circles half the bafe half the difference half the fum half the vertical Hence hyperbolic logarithm hypothenufe interfect itſelf laft leffer leg BC likewife moreover pendicular perpendicular plane triangle ABC progreffion propofed proportion radius refpectively right-angled Spherical triangle right-line ſhall ſphere ſpherical tang tangent of half THEOREM thofe thoſe Trigonometry verfed vertical angle whence whofe